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Irina18 [472]
3 years ago
11

X^2-5x=14 solve for x

Mathematics
2 answers:
elixir [45]3 years ago
8 0

Answer:

x=7, -2.

Step-by-step explanation:

x^2-5x=14

x^2-5x-14=0

factor out the trinomial,

(x-7)(x+2)=0

zero property,

x-7=0, x+2=0,

x=0+7=7,

x=0-2=-2

crimeas [40]3 years ago
4 0

Answer:

x = - 2, x = 7

Step-by-step explanation:

Given

x² - 5x = 14 ( subtract 14 from both sides )

x² - 5x - 14 = 0 ← in standard form

Consider the factors of the constant term (- 14) which sum to give the coefficient of the x- term (- 5)

The factors are - 7 and + 2, since

- 7 × 2 = - 14 and - 7 + 2 = - 5, thus

(x - 7)(x + 2) = 0

Equate each factor to zero and solve for x

x + 2 = 0 ⇒ x = - 2

x - 7 = 0 ⇒ x = 7

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PLEASE HELP ME AND SHOW ALL WORK THANK YOU!!!!!!
Natalija [7]
M>5=m>4
m>5 and m>7 are on line then m>5+m>7=180
by substituting
m>4+37=180
m>4=143
m>2=m>7=37
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m<3+m>5=180
7 0
3 years ago
1) Given: circle k(O), ED= diameter ,m∠OEF=32°, m(arc)EF=(2x+10)° Find: x
qaws [65]

1. The major arc ED has measure 180 degrees since ED is a diameter of the circle. The measure of arc EF is (2x+10)^\circ, so the measure of arc DF is

m\widehat{DF}=360^\circ-180^\circ-(2x+10)^\circ=(170-2x)^\circ

The inscribed angle theorem tells us that the central angle subtended by arc DF, \angle DOF, has a measure of twice the measure of the inscribed angle DEF (which is the same angle OEF) so

m\angle DOF=2m\angle OEF=64^\circ

so the measure of arc DF is also 64 degrees. So we have

170-2x=64\implies106=2x\implies\boxed{x=53}

###

2. Arc FE and angle EOF have the same measure, 56 degrees. By the inscribed angle theorem,

m\angle EOF=2m\angle EDF\implies56^\circ=2m\angle EDF\implies m\angle EDF=28^\circ

Triangle DEF is isosceles because FD and ED have the same length, so angles EFD and DEF are congruent. Also, the sum of the interior angles of any triangle is 180 degrees. It follows that

m\angle EFD+m\angle EDF+m\angle DEF=180^\circ\implies\boxed{m\angle EFD=76^\circ}

Triangle OFE is also isosceles, so angles EFO and FEO are congruent. So we have

m\angle EFO+m\angle FEO+m\angle EOF=180^\circ\implies\boxed{m\angle EFO=62^\circ}

7 0
3 years ago
"A day care program has an average daily expense of $75.00. The standard deviation is $5.00. The owner takes a sample of 64 bill
kolbaska11 [484]

Answer:

p=1

Step-by-step explanation:

Given that a day care program has an average daily expense of $75.00. The standard deviation is $5.00.

Sample size = 64

Std error of sample = \frac{5}{\sqrt{64} } \\=0.625

Thus sample mean will follow normal with

(75, 0.625)

Required probability

=P(70

It is almost a certain event with p =1

8 0
3 years ago
Read 2 more answers
What is the result when 75,069 is divided by 45
Lera25 [3.4K]

Answer: 1668.2

Multiply 1668.2×45 and get 75,069

5 0
3 years ago
Read 2 more answers
What is 2x-y=6 the slope
Flura [38]

First of all, lets get y on its own side of the equation.

-y=-2x+6\\y=2x-6\\

This is slope intercept form, y=mx+b, where m is slope.

we can see that m=2, so the slope is 2 or \frac{2}{1}

5 0
3 years ago
Read 2 more answers
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